**
GEORGE MASON
UNIVERSITY**

Systems Engineering and Operations
Research Department

Thursday, 4:30-7:10p.m.

Science and Tech Bldg II, Room 15

Professor Karla L. Hoffman

Office: SciTech Building II, Room 123

Phone: (703)993-1679(direct) or 993-1670 (office)

Homepage:
http://iris.gmu.edu/~khoffman/hoffman.html

Homepage for Course:
http://iris.gmu.edu/~khoffman/or441_f04/or441_f04.html

**Office hours**: Thursdays: 1:00-3:00p.m. and by
appointment

I am usually on Mondays, Tuesdays and Thursdays from 9:30 to 6:30. I can also be
available after class on Thursdays.

**Text:** W.L. Winston, *Operations Research: Applications and
Algorithms. *Duxbury Press. Fourth Edition, 2003

**Course Description: **This course is designed
to introduce deterministic operations research modeling and methodology. It is
designed to strengthen the students' knowledge and application of operations
research techniques, provide the student with hands-on experience using
micro-computer software in the field and to evaluate the applicability of such
techniques to industry, government and science. A working knowledge of matrix
algebra is essential.

**Software:** You will be expected to use a modeling language to complete
your project. You need to download:

MPL (Maximal Software Corporation), available by
downloading from the internet (http://www.maximal-usa.com).* This software is
also provided with the textbook -- in a disk at the back of the text.*

**Main Goals:**

To improve decision-making with operations principles and methods, specifically:

To learn about a broad range of contemporary operations research methods and their applications to the real world.

To learn about the role of uncertainty and use of data in decision-making.

To learn to communicate effectively.

**Basic Skills: **

Formulating basic optimization problems and solving them using a modeling language

Understanding the effects of uncertainty in decision-making.

**Homework and Grading: (Click Here for Homework
Assignments)**

Homework problems will be assigned at each session. Some or all of the assignments will be collected and graded.

There will be one in-class midterm exam and the final will also be in class. All exams will be open book and open notes.

There will also be one project that will require the formulation and solution to an optimization problem.

Grades will be computed as follows:

The midterm will count as 30%,

The project will count for 20%,

Homework will count 15%, and

The final will be worth the remaining 35%.

**Course Outline**:

The course will include all or part of the following chapters from the Hillier and Lieberman text, covered in the indicated sequence. The exact scheduling will depend upon the interests of the class, which will determine the amount of time that will be devoted to each topic.

**WEEK
CHAPTER(S) TOPIC **

Week One Chap.1, 2, 3-1 to 3-4 Introduction to operations research & linear programming.

Week Two Chap. 3 Formulation techniques and graphing

Week Three Chap. 4-1 to 4-7 The Simplex Method

Week Four Chap 4-8 to 4-12 More Simplex Method

Week Five Chap. 6-1 to 6-2 Sensitivity Analysis & Duality

Week Six Chap. 6-3 to 6-10 More Sensitivity Analysis

Week Seven Chap. 7-1 to 7-5 The Transportation Problem

Week Eight Midterm Exam (Transportation not on midterm)

Week Nine Chap. 8-1 to 8-6 Networks

Week Ten Chap. 9-1 to 9-2 Begin Integer Programming

Week Eleven Chap. 9-3 to 9-8 Integer Programming Methods

Week Twelve Chap. 12-1 to 12-3 Introduction to Nonlinear Programming

Week Thirteen Chap. 12-4 to 12-8 Nonlinear Programming

Week Fourteen Review

Week Fifteen Final Exam

**Fundamental Rules: **

(1) Make-up exams will only be given for extreme situations, and only if I am contacted before the exam is given and full arrangements are established. Full adherence to this policy is the responsibility of the student.

(2) The exam dates above are tentative, and it is the student's responsibility to keep abreast of changes.

(3) Homework will be assigned each class, and usually collected. All work must be clearly written. Illegible work will not be accepted.

(4) There is a penalty of 10% of the total grade for each day that the homework is late.